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Finding the Fourth Proportional to 99,872.40, 149,830.20 and 33,301.20

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Solution

The fourth proportional to 99,872.40, 149,830.20 and 33,301.20 is: 49,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,872.40 : 149,830.20 = 33,301.20 : x
  2. Step 2: Convert to fraction form
    99,872.40/149,830.20 = 33,301.20/x
  3. Step 3: Cross multiply
    99,872.40x = 149,830.20 × 33,301.20
  4. Step 4: Simplify right side
    99,872.40x = 4,989,525,456.24
  5. Step 5: Solve for x
    x = 4,989,525,456.24/99,872.40
  6. Step 6: Final answer
    x = 49,959.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.